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Fill In the Missing Exponent or Coefficient

Written by Adi Ackerman, Head Teacher

"Fill In the Missing Exponent or Coefficient" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.EE.A.4. A 7th grader who is already steady on scientific notation can use it too, and an older student can use it as a short review.

Popular with 8th Grade teachers · Downloaded 406 times
Fill In the Missing Exponent or Coefficient
Fill In the Missing Exponent or Coefficient

8th grade math worksheet: fill in the missing exponent or first factor so pairs like 0.00045 and 4.5 × 10 to the ? match. Answer key included. Part of our converting scientific notation collection. Aligned to Common Core standards.

How do I use this worksheet?

Hand out the Scientific Notation Reference Sheet first. Work the whole number sheet before the decimal sheet, then use the sorting and matching sheets as checks before estimating.

What students will practice

  • Students will match a number in standard form to its scientific notation.
  • Students will find a missing exponent by counting decimal places.
  • Students will find a missing first factor when the power of 10 is given.


Curriculum Links

Common Core State Standards

Expressions and Equations · 8th Grade

8.EE.A.4

Standard: Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.

View all 8.EE.A.4 worksheets →

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FAQ

How do I use this converting scientific notation worksheet?

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Hand out the Scientific Notation Reference Sheet first. Work the whole number sheet before the decimal sheet, then use the sorting and matching sheets as checks before estimating.

What does this worksheet teach?

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Fill in the missing exponent or first factor so pairs like 0.00045 and 4.5 × 10 to the ? match. The directions on the page read: Each number is written in standard form and in scientific notation. Fill in the missing exponent in the box or the missing first factor on the line. An answer key is included.

Can I use this converting scientific notation worksheet for homeschool or classroom?

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Yes, both. We made it for 8th grade scientific notation, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

How do you convert a small decimal to scientific notation?

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Move the decimal point right until the number is at least 1 and less than 10, and use the number of places as a negative exponent. So 0.0045 = 4.5 × 10⁻³. Convert Both Ways, Decimals Less Than One practices this.

Why is 45 × 10³ not in scientific notation?

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The first factor must be at least 1 and less than 10, and 45 is too large. Move the decimal point one place left and add 1 to the exponent to get 4.5 × 10⁴. Fix Numbers Not in Scientific Notation has students repair forms like this.

How do you convert scientific notation to standard form?

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Move the decimal point right for a positive exponent or left for a negative exponent, as many places as the exponent shows. So 6.1 × 10³ = 6,100. Match Scientific Notation to Standard Form practices this with a lettered bank.

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Worksheet Details

Grade8th Grade
SubjectMath
TopicScientific Notation
Standard8.EE.A.4
Pages1 page
DifficultyMedium

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